On linear series on general $k$-gonal projective curves
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- by E. Ballico and C. Keem
- Proc. Amer. Math. Soc. 124 (1996), 7-9
- DOI: https://doi.org/10.1090/S0002-9939-96-03257-1
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Abstract:
Let $X$ be a general $k$-gonal curve of genus $g$. Here we prove a strong upper bound for the dimension of linear series on $X$, i.e. we prove that $\dim (W^r_d(X))\leq \rho (g,r,d)+(g-2k+2):=g-(r+1) (r+g-d)+(g-2k+2)$.References
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Bibliographic Information
- E. Ballico
- Affiliation: Department of Mathematics, University of Trento, 38050 Povo, Trento, Italy
- MR Author ID: 30125
- Email: ballico@itncisca.bitnet or ballico@science.unitn.it
- C. Keem
- Affiliation: Department of Mathematics, Seoul National University, Seoul 151-742, Korea
- Email: ckeem@krsnuccl.bitnet or ckeem@math.snu.ac.kr
- Received by editor(s): May 18, 1994
- Additional Notes: The first author was partially supported by MURST and GNSAGA of CNR (Italy). He wants to thank GARC-KOSEF (Korea) and his mathematical Korean friends both for the mathematics and the hospitality. The second author was partially supported by MOE (Korea). Both authors are indebted to GARC-KOSEF at Seoul National University, since this note owes its existence to its warm and stimulating atmosphere.
- Communicated by: Eric M. Friedlander
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 7-9
- MSC (1991): Primary 14C95, 14C20
- DOI: https://doi.org/10.1090/S0002-9939-96-03257-1
- MathSciNet review: 1317030